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Mostrando ítems 21-30 de 33
Artículo
Strongly omnipresent integral operators
(Springer, 2002-12)
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. ...
Artículo
Real-Analytic Non-Integrable Functions on the Plane with Equal Iterated Integrals
(Springer, 2021-12-16)
In this note, a vector space of real-analytic functions on the plane is explicitly constructed such that all its nonzero functions are non-integrable but yet their two iterated integrals exist as real numbers and coincide. ...
Artículo
Pseudo-Fubini Real-Entire Functions on the Plane
(Springer, 2022-09-09)
In this note, it is proved the existence of a c -dimensional vector space of real-entire functions all of whose nonzero members are non-integrable in the sense of Lebesgue but yet their two iterated integrals exist as ...
Artículo
Large algebras of singular functions vanishing on prescribed sets
(Springer, 2016-06-21)
In this paper, the non-vacuousness of the family of all nowhere analytic infinitely differentiable functions on the real line vanishing on a prescribed set Z is characterized in terms of Z. In this case, large algebraic ...
Artículo
Two hyperbolic Schwarz lemmas
(Cambridge University Press, 2002-08)
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings on the unit disk with fixed multiplicity for the zero at the origin, hence extending a recent ...
Artículo
A Seidel-Walsh theorem with linear differential operators
(Springer, 1999-05)
Assume that {Sn}∞1 is a sequence of automorphisms of the open unit disk D and that {Tn}∞1 is a sequence of linear differential operators with constant coefficients, both of them satisfying suitable conditions. We prove ...
Artículo
Universal Taylor series with maximal cluster sets
(Consejo Superior de Investigaciones Científicas, 2009-06)
We link the overconvergence properties of certain Taylor series in the unit disk to the maximality of their cluster sets, so connecting outer wild behavior to inner wild behavior. Specifically, it is proved the existence ...
Artículo
Holomorphic T-monsters and strongly omnipresent operators
(Elsevier, 2000-06)
Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic functions in G, endowed with the compact-open topology. In this paper we introduce the notions of ...
Artículo
Dense-lineability of sets of Birkhoff-universal functions with rapid decay
(Elsevier, 2010-03-01)
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an increasing positive function on the positive real numbers. We prove the existence of a dense linear ...
Artículo
Holomorphic operators generating dense images
(Springer, 2008-01)
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...